Question

A test subject is randomly selected for a diabetes test. What is the probability of getting a subject who is not diabetic, given that the test result is negative? Find the probability using the data table.


0.10



0.12



0.50



0.90


please help will medal

Answer 1

this is a conditional probability problem

first calculate how many people got a negative test

Answer 2

still there?

Answer 3

why would i do that because the question ask for the ones who are not diabetic, which is 28

Answer 4

listen

Answer 5

it asks "What is the probability of getting a subject who is not diabetic, given that the test result is negative?"

Answer 6

which means:

out of all the people who got negative tests, how many are not diabetic

Answer 7

so we first need to figure out how many people got negative tests

Answer 8

You focus on the given condition column (negative) and find the proportion of subjects are are non diabetic in that column.

Answer 9

here is the formula we are using

Answer 10

31

Answer 11

good, 31

Answer 12

now we divide the number of negative test, non-diabetcs (which is 28)

over 31

so 28/31 = 0.9

Answer 13

and that's it

Answer 14

thank you :)